> Do monks wear wedding rings when they get married?
As for each, those who practice esoteric Buddhism are praying. It is a rule to remove these jewelry while reciting sutras, so they don't do this.
In my case, I don't do it all the time.
> Is there a ceremony for exchanging rings at the wedding?
In the case of a wedding ceremony in front of the Buddha, there are cases where a ring exchange ceremony is held, but almost all of them involve exchanging rosaries.
> Will I be given an engagement ring too?
It's probably each of them.
I haven't given it to you. Instead, I gave them a rosary (bracelet rosary).
> Are proposals based on words such as the Buddha?
well then... how was it~
Let's leave the answer muddy (^_ ☆)